Question
Suppose a lender enters into an FRA, where the lender will receive 9%, measured with annual compounding, for the fourth year and pay LIBOR on
Suppose a lender enters into an FRA, where the lender will receive 9%, measured with annual compounding, for the fourth year and pay LIBOR on a principal of $15,260. The forward LIBOR rate (annually compounded) for the fourth year is 9.5%. Suppose that risk-free zero interest rates with continuous compounding are as follows:
Maturity(years) | Rate (% per annum) |
1 | 2 |
2 | 3 |
3 | 4 |
4 | 6 |
5 | 7 |
What is the forward rate for the 4th year? (Sample answer: 2.50%) [x] What is the cash flow to the lender at the end of the term (at T=4)? (Sample answer: $25.50 or -$25.50) [y] What is the Value of the FRA to the lender (at T=0)? (Sample answer: $25.50 or -$25.50) [z]
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